Prime p₀= 1118057235136879319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1118055473587166963	0 6 44 56 84 90 98 114 140 156 164 170 198 210 248 254	-1761549712356
SPT(16)	1118055474225465403	0 60 70 88 90 108 136 138 166 168 196 214 216 234 244 304	-1760911413916
SPT(16)	1118055999205916503	0 10 66 106 108 120 130 154 210 234 244 256 258 298 354 364	-1235930962816
STPT(10)	1118056065577493891	0 2 36 38 78 80 120 122 156 158	-1169559385428
SPT(16)	1118056127167960397	0 60 62 72 86 92 134 140 216 222 264 270 284 294 296 356	-1107968918922
SPT(16)	1118056907153603657	0 14 42 50 92 116 126 170 246 290 300 324 366 374 402 416	-327983275662
STPT(10)	1118057458065445169	0 2 18 20 30 32 42 44 60 62	222928565850
SPT(16)	1118057504541460871	0 12 78 98 108 110 180 182 246 248 318 320 330 350 416 428	269404581552
STPT(10)	1118057579276320997	0 2 30 32 42 44 54 56 84 86	344139441678
STPT(10)	1118057695782207137	0 2 12 14 42 44 72 74 84 86	460645327818
SPT(16)	1118057752441572989	0 2 98 230 242 272 314 320 342 348 390 420 432 564 660 662	517304693670