Prime p₀= 1028557195308851237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1028555280592818827	0 2 30 32 60 62 90 92 120 122	-1914716032410
SPT(16)	1028555953365919873	0 24 30 48 76 100 114 118 126 130 144 168 196 214 220 244	-1241942931364
SPT(16)	1028556850994679689	0 90 92 114 170 182 224 228 254 258 300 312 368 390 392 482	-344314171548
STPT(10)	1028557048078921817	0 2 30 32 42 44 54 56 84 86	-147229929420
STPT(10)	1028557119812301221	0 2 6 8 18 20 30 32 36 38	-75496550016
SPT(16)	1028557181567955817	0 12 64 100 142 294 310 316 330 336 352 504 546 582 634 646	-13740895420
SPT(16)	1028557208531242631	0 2 36 42 66 86 90 92 126 128 132 152 176 182 216 218	13222391394
SPT(16)	1028557399139816101	0 6 30 40 52 58 76 90 118 132 150 156 168 178 202 208	203830964864
SPT(16)	1028557916004828553	0 10 16 40 54 66 84 100 120 136 154 166 180 204 210 220	720695977316
SPT(16)	1028557943627526449	0 54 68 114 134 170 210 224 258 272 312 348 368 414 428 482	748318675212
SPT(16)	1028558143964092369	0 18 24 40 60 64 78 82 90 94 108 112 132 148 154 172	948655241132