Prime p₀= 2789415094790392961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 10 2 46 2 28 2 190 2 (?)
a_n: 0 2 48 50 168 170 180 182 228 230 258 260 450 452
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: [SG-FC] hl
db: batch=82, k=14, 46 118 10 46 28 190

STPT(10)	2789412864334717667	0 2 54 56 72 74 90 92 144 146	-2230455675294
SPT(16)	2789412992427142561	0 60 76 78 90 100 130 148 168 186 216 226 238 240 256 316	-2102363250400
SPT(16)	2789413886391971567	0 44 50 60 92 102 114 134 150 170 182 192 224 234 240 284	-1208398421394
SPT(16)	2789414202108891317	0 20 56 80 122 164 176 210 296 330 342 384 426 450 486 506	-892681501644
STPT(10)	2789414316502822901	0 2 6 8 48 50 90 92 96 98	-778287570060
SPT(20)	2789414878889339521	0 28 100 168 220 256 270 280 322 358 360 396 438 448 462 498 550 618 690 718	-215901053440
STPT(10)	2789415146490910907	0 2 30 32 72 74 114 116 144 146	51700517946
SPT(16)	2789415196442662621	0 10 12 30 70 88 96 100 138 142 150 168 208 226 228 238	101652269660
SPT(16)	2789415590371872071	0 32 102 110 126 140 150 186 206 242 252 266 282 290 360 392	495581479110
SPT(16)	2789415824137727713	0 10 66 84 126 154 180 210 244 274 300 328 370 388 444 454	729347334752
SPT(16)	2789415864681609409	0 10 28 60 88 108 148 180 220 252 292 312 340 372 390 400	769891216448