Prime p₀= 3091514349011247947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: L@MiR
db: batch=83, k=10, 2 58 2 10 2

SPT(16)	3091511923489648873	0 34 60 76 78 84 100 120 154 174 190 196 198 214 240 274	-2425521599074
TPT(14)	3091512351331188599	0 2 12 14 48 50 90 92 150 152 168 170 222 224	-1997680059348
STPT(10)	3091512666069816617	0 2 30 32 72 74 114 116 144 146	-1682941431330
SPT(16)	3091512666703508423	0 6 24 48 78 80 90 134 180 224 234 236 266 290 308 314	-1682307739524
STPT(10)	3091512667174811681	0 2 6 8 48 50 90 92 96 98	-1681836436266
SPT(16)	3091513509104258869	0 22 24 72 88 114 154 190 192 228 268 294 310 358 360 382	-839906989078
TPT(14)	3091514537501670431	0 2 6 8 30 32 126 128 138 140 156 158 216 218	188490422484
STPT(12)	3091514547832823219	0 2 30 32 48 50 72 74 90 92 120 122	198821575272
SPT(16)	3091514645063948429	0 14 18 60 98 128 138 170 228 260 270 300 338 380 384 398	296052700482
SPT(16)	3091514785008382501	0 46 58 66 88 136 168 222 226 280 312 360 382 390 402 448	435997134554
STPT(10)	3091514925860172347	0 2 30 32 42 44 54 56 84 86	576848924400