Prime p₀= 1236499286841823577 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: amargo133
db: batch=77, k=10, 2 22 2 16 2

TPT(14)	1236498487523880071	0 2 30 32 78 80 96 98 108 110 138 140 360 362	-799317943506
SPT(16)	1236498539938022051	0 6 32 56 60 80 116 122 186 192 228 248 252 276 302 308	-746903801526
STPT(10)	1236498551987139827	0 2 12 14 42 44 72 74 84 86	-734854683750
SPT(16)	1236498721985218487	0 50 60 120 186 206 222 230 306 314 330 350 416 476 486 536	-564856605090
SPT(16)	1236498843965591321	0 30 48 66 68 78 96 98 120 122 140 150 152 170 188 218	-442876232256
SPT(16)	1236499091807316373	0 46 64 88 100 126 130 166 168 204 208 234 246 270 288 334	-195034507204
STPT(10)	1236499312915073687	0 2 30 32 42 44 54 56 84 86	26073250110
SPT(16)	1236499583486148979	0 34 78 82 100 114 118 130 282 294 298 312 330 334 378 412	296644325402
STPT(12)	1236499732104269987	0 2 12 14 102 104 222 224 312 314 324 326	445262446410
SPT(16)	1236499748721350023	0 16 30 88 124 126 144 186 208 250 268 270 306 364 378 394	461879526446
STPT(12)	1236499909068780281	0 2 78 80 90 92 156 158 168 170 246 248	622226956704