Prime p₀= 2912027925900441329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2912027082404119027	0 36 40 52 66 96 106 124 132 150 160 190 204 216 220 256	-843496322302
SPT(16)	2912027562708102841	0 6 46 48 52 66 168 192 256 280 382 396 400 402 442 448	-363192338488
STPT(10)	2912027749503094217	0 2 30 32 72 74 114 116 144 146	-176397347112
SPT(16)	2912027760060345307	0 30 34 40 64 76 132 184 222 274 330 342 366 372 376 406	-165840096022
STPT(10)	2912027761968980957	0 2 30 32 42 44 54 56 84 86	-163931460372
SPT(16)	2912027921168035717	0 12 42 66 84 150 160 216 280 336 346 412 430 454 484 496	-4732405612
SPT(16)	2912028145201687961	0 108 170 180 206 210 308 336 362 390 488 492 518 528 590 698	219301246632
SPT(16)	2912028395548716467	0 14 60 66 126 162 174 204 212 242 254 290 350 356 402 416	469648275138
STPT(10)	2912028493030973759	0 2 42 44 60 62 78 80 120 122	567130532430
STPT(10)	2912028670480113839	0 2 48 50 90 92 132 134 180 182	744579672510
SPT(16)	2912028676318329647	0 24 36 50 72 102 120 134 192 206 224 254 276 290 302 326	750417888318