Prime p₀= 1262662649822993537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1262661729228135349	0 72 84 94 148 154 180 204 298 322 348 354 408 418 430 502	-920594858188
STPT(10)	1262661749131569299	0 2 42 44 60 62 78 80 120 122	-900691424238
SPT(16)	1262662137482883953	0 6 18 54 140 176 254 260 264 270 348 384 470 506 518 524	-512340109584
STPT(10)	1262662240824222911	0 2 30 32 78 80 126 128 156 158	-408998770626
TPT(14)	1262662267640164607	0 2 54 56 84 86 144 146 210 212 234 236 270 272	-382182828930
SPT(16)	1262662449916636807	0 12 30 52 106 114 136 162 184 210 232 240 294 316 334 346	-199906356730
STPT(10)	1262662697785869557	0 2 90 92 102 104 114 116 204 206	47962876020
STPT(10)	1262663196221178371	0 2 6 8 48 50 90 92 96 98	546398184834
STPT(10)	1262663500285475339	0 2 42 44 60 62 78 80 120 122	850462481802
SPT(16)	1262663506401606383	0 48 74 86 96 104 120 126 188 194 210 218 228 240 266 314	856578612846
SPT(16)	1262663562663895333	0 58 76 78 88 90 96 100 144 148 154 156 166 168 186 244	912840901796