Prime p₀= 2532537953393770757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 56
Found by: Penguin
db: batch=82, k=12, 2 10 2 10 2 4

STPT(10)	2532536991300928691	0 2 30 32 78 80 126 128 156 158	-962092842066
SPT(16)	2532537010668475201	0 30 70 72 88 102 112 118 150 156 166 180 196 198 238 268	-942725295556
STPT(10)	2532537115058121881	0 2 6 8 108 110 210 212 216 218	-838335648876
SPT(16)	2532537673878550619	0 12 14 24 74 78 138 150 212 224 284 288 338 348 350 362	-279515220138
STPT(10)	2532537861827075129	0 2 18 20 30 32 42 44 60 62	-91566695628
SPT(18)	2532537867663548819	0 42 68 74 90 138 140 158 162 200 204 222 224 272 288 294 320 362	-85730221938
STPT(10)	2532537989148951491	0 2 36 38 78 80 120 122 156 158	35755180734
STPT(10)	2532538109458993841	0 2 6 8 18 20 30 32 36 38	156065223084
SPT(16)	2532538757861323751	0 36 42 56 66 68 72 138 140 206 210 212 222 236 242 278	804467552994
TPT(14)	2532538910285312207	0 2 30 32 54 56 102 104 210 212 222 224 312 314	956891541450
SPT(16)	2532538938270222151	0 22 78 88 96 102 138 168 370 400 436 442 450 460 516 538	984876451394