Prime p₀= 2612052603157265687 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2612050378506863711	0 2 6 8 30 32 96 98 156 158 216 218 228 230	-2224650401976
SPT(16)	2612050925275259219	0 14 42 50 68 90 120 134 138 152 182 204 222 230 258 272	-1677882006468
TPT(14)	2612051573635271147	0 2 30 32 72 74 144 146 162 164 174 176 282 284	-1029521994540
SPT(16)	2612051755925159983	0 4 58 114 130 136 144 220 354 430 438 444 460 516 570 574	-847232105704
SPT(16)	2612051974729927823	0 8 84 86 114 120 158 164 210 216 254 260 288 290 366 374	-628427337864
STPT(10)	2612052251601622829	0 2 18 20 30 32 42 44 60 62	-351555642858
SPT(16)	2612053137786484999	0 54 90 94 120 138 190 204 208 222 274 292 318 322 358 412	534629219312
SPT(16)	2612053615705730621	0 38 62 110 150 168 192 200 210 218 242 260 300 348 372 410	1012548464934
TPT(14)	2612053687929726917	0 2 60 62 90 92 132 134 162 164 204 206 240 242	1084772461230
STPT(10)	2612053706805097739	0 2 30 32 60 62 90 92 120 122	1103647832052
SPT(13)	2612053767108445559	0 12 42 60 72 102 120 138 168 180 198 228 240	1163951179872