Prime p₀= 3012806247561047219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Alnitak2019
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	3012805359010738127	0 2 42 44 72 74 102 104 144 146	-888550309092
TPT(14)	3012805854362214089	0 2 18 20 48 50 168 170 180 182 210 212 258 260	-393198833130
STPT(10)	3012805854531608951	0 2 6 8 48 50 90 92 96 98	-393029438268
SPT(16)	3012805960274873803	0 18 54 96 124 130 208 210 304 306 384 390 418 460 496 514	-287286173416
SPT(16)	3012805989332242027	0 4 30 40 46 60 82 96 100 114 136 150 156 166 192 196	-258228805192
STPT(10)	3012806027172675491	0 2 6 8 18 20 30 32 36 38	-220388371728
STPT(10)	3012806387429812451	0 2 30 32 78 80 126 128 156 158	139868765232
STPT(10)	3012806392769952671	0 2 6 8 48 50 90 92 96 98	145208905452
SPT(16)	3012806522442790751	0 2 38 60 80 86 126 140 168 182 222 228 248 270 306 308	274881743532
SPT(16)	3012806673873466553	0 20 66 68 116 180 230 284 300 354 404 468 516 518 564 584	426312419334
SPT(16)	3012806773281545089	0 40 48 64 124 142 198 202 240 244 300 318 378 394 402 442	525720497870