Prime p₀= 2356703303233501151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Drago75
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2356702217009544737	0 14 26 126 152 170 216 242 324 350 396 414 440 540 552 566	-1086223956414
TPT(14)	2356702524307667351	0 2 6 8 60 62 96 98 126 128 186 188 228 230	-778925833800
SPT(16)	2356702555083751999	0 34 40 60 112 124 130 132 172 174 180 192 244 264 270 304	-748149749152
SPT(16)	2356702702594034149	0 10 12 42 70 120 124 208 234 318 322 372 400 430 432 442	-600639467002
STPT(10)	2356702818322043201	0 2 6 8 48 50 90 92 96 98	-484911457950
TPT(14)	2356703222669875691	0 2 66 68 96 98 150 152 210 212 300 302 456 458	-80563625460
STPT(10)	2356703531611555331	0 2 6 8 18 20 30 32 36 38	228378054180
SPT(16)	2356703551563279319	0 18 42 90 108 120 154 228 244 318 352 364 382 430 454 472	248329778168
STPT(10)	2356703631612705041	0 2 6 8 18 20 30 32 36 38	328379203890
TPT(14)	2356703648168188547	0 2 54 56 72 74 90 92 114 116 222 224 294 296	344934687396
STPT(10)	2356703862763342187	0 2 30 32 42 44 54 56 84 86	559529841036