Prime p₀= 1022838601530900409 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 12 14 24 40 2 4 74 4 2 40 24 14 12 28 (?)
a_n: 0 28 40 54 78 118 120 124 198 202 204 244 268 282 294 322
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 322
Found by: stoneageman
db: batch=76, k=16, 28 12 14 24 40 2 4 74

SPT(16)	1022837334430589459	0 20 38 42 48 60 68 104 138 174 182 194 200 204 222 242	-1267100310950
SPT(16)	1022837351104749601	0 10 18 28 42 100 120 130 168 178 198 256 270 280 288 298	-1250426150808
SPT(16)	1022837673553707797	0 14 24 30 56 90 132 140 156 164 206 240 266 272 282 296	-927977192612
STPT(10)	1022837717313913619	0 2 18 20 30 32 42 44 60 62	-884216986790
SPT(16)	1022837792997285989	0 20 50 72 98 122 254 308 324 378 510 534 560 582 612 632	-808533614420
SPT(16)	1022838318357821527	0 16 24 42 64 70 94 100 126 132 156 162 184 202 210 226	-283173078882
SPT(16)	1022838812396977027	0 40 84 124 126 184 196 216 280 300 312 370 372 412 456 496	210866076618
SPT(16)	1022838858005626663	0 4 46 106 126 166 184 196 198 210 228 268 288 348 390 394	256474726254
SPT(16)	1022839261641759703	0 4 10 18 78 94 136 154 180 198 240 256 316 324 330 334	660110859294
SPT(16)	1022839419900489127	0 16 30 54 76 84 124 192 244 312 352 360 382 406 420 436	818369588718
STPT(12)	1022839436860193921	0 2 36 38 90 92 126 128 180 182 216 218	835329293512