Prime p₀= 2302293762554217073 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 36 32 10 8 24 6 4 6 24 8 10 32 36 10 (?)
a_n: 0 10 46 78 88 96 120 126 130 136 160 168 178 210 246 256
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: 256
Found by: FritzB
db: batch=81, k=16, 10 36 32 10 8 24 6 4

SPT(16)	2302291972158296021	0 102 120 140 150 182 192 308 330 446 456 488 498 518 536 638	-1790395921052
STPT(10)	2302292271005714129	0 2 18 20 30 32 42 44 60 62	-1491548502944
SPT(16)	2302292848428008003	0 8 18 68 144 164 176 200 204 228 240 260 336 386 396 404	-914126209070
STPT(10)	2302293187439958257	0 2 30 32 42 44 54 56 84 86	-575114258816
SPT(16)	2302293705188387789	0 42 62 90 92 128 152 212 228 288 312 348 350 378 398 440	-57365829284
TPT(14)	2302293752350867601	0 2 18 20 186 188 228 230 240 242 300 302 306 308	-10203349472
SPT(16)	2302294427428145327	0 2 14 24 42 62 132 162 254 284 354 374 392 402 414 416	664873928254
STPT(10)	2302294627759905041	0 2 6 8 48 50 90 92 96 98	865205687968
STPT(10)	2302294705125203051	0 2 6 8 48 50 90 92 96 98	942570985978
SPT(16)	2302294842285595519	0 90 94 112 148 174 190 192 220 222 238 264 300 318 322 412	1079731378446
SPT(16)	2302294889852220859	0 4 82 142 162 222 232 270 274 312 322 382 402 462 540 544	1127298003786