Prime p₀= 2789414878889339521 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 28 72 68 52 36 14 10 42 36 2 36 42 10 14 36 52 68 72 28 (?)
a_n: 0 28 100 168 220 256 270 280 322 358 360 396 438 448 462 498 550 618 690 718
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 718
Found by: [SG-FC] hl
db: batch=82, k=20, 28 72 68 52 36 14 10 42 36 2

SPT(16)	2789412801695891309	0 2 12 44 68 72 138 152 210 224 290 294 318 350 360 362	-2077193448212
STPT(10)	2789412864334717667	0 2 54 56 72 74 90 92 144 146	-2014554621854
SPT(16)	2789412992427142561	0 60 76 78 90 100 130 148 168 186 216 226 238 240 256 316	-1886462196960
SPT(16)	2789413886391971567	0 44 50 60 92 102 114 134 150 170 182 192 224 234 240 284	-992497367954
SPT(16)	2789414202108891317	0 20 56 80 122 164 176 210 296 330 342 384 426 450 486 506	-676780448204
STPT(10)	2789414316502822901	0 2 6 8 48 50 90 92 96 98	-562386516620
TPT(14)	2789415094790392961	0 2 48 50 168 170 180 182 228 230 258 260 450 452	215901053440
STPT(10)	2789415146490910907	0 2 30 32 72 74 114 116 144 146	267601571386
SPT(16)	2789415196442662621	0 10 12 30 70 88 96 100 138 142 150 168 208 226 228 238	317553323100
SPT(16)	2789415590371872071	0 32 102 110 126 140 150 186 206 242 252 266 282 290 360 392	711482532550
SPT(16)	2789415824137727713	0 10 66 84 126 154 180 210 244 274 300 328 370 388 444 454	945248388192