Prime p₀= 1236454655507755037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Raspo
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1236454091421187273	0 40 70 94 154 174 180 196 384 400 406 426 486 510 540 580	-564086567764
SPT(16)	1236454177029136309	0 4 30 34 82 144 168 180 202 214 238 300 348 352 378 382	-478478618728
SPT(16)	1236454183878059281	0 6 10 28 46 76 78 88 90 100 102 132 150 168 172 178	-471629695756
STPT(12)	1236454275061088087	0 2 12 14 30 32 114 116 132 134 144 146	-380446666950
STPT(10)	1236454292375875091	0 2 30 32 78 80 126 128 156 158	-363131879946
SPT(16)	1236454580768619923	0 6 14 54 84 96 120 188 216 284 308 320 350 390 398 404	-74739135114
SPT(16)	1236454769495943973	0 28 54 76 96 108 126 156 178 208 226 238 258 280 306 334	113988188936
SPT(16)	1236455112522792707	0 6 12 20 72 86 96 114 182 200 210 224 276 284 290 296	457015037670
STPT(10)	1236455259118757927	0 2 30 32 42 44 54 56 84 86	603611002890
TPT(14)	1236455355471163577	0 2 72 74 114 116 120 122 180 182 192 194 204 206	699963408540
STPT(10)	1236455816171810789	0 2 18 20 60 62 102 104 120 122	1160664055752