Prime p₀= 2503779596762278589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 10 2 16

STPT(10)	2503777871327903081	0 2 6 8 18 20 30 32 36 38	-1725434375508
TPT(14)	2503777904718782267	0 2 90 92 120 122 144 146 162 164 210 212 240 242	-1692043496322
STPT(10)	2503778389551469991	0 2 36 38 78 80 120 122 156 158	-1207210808598
STPT(10)	2503779246325861277	0 2 54 56 72 74 90 92 144 146	-350436417312
SPT(16)	2503779258571072519	0 30 48 100 112 118 192 198 214 220 294 300 312 364 382 412	-338191206070
STPT(10)	2503779307909136009	0 2 18 20 30 32 42 44 60 62	-288853142580
SPT(16)	2503779709124457503	0 18 24 38 60 90 104 108 176 180 194 224 246 260 266 284	112362178914
SPT(16)	2503780057661136391	0 42 82 126 132 142 196 198 310 312 366 376 382 426 466 508	460898857802
TPT(14)	2503780638763649339	0 2 42 44 48 50 78 80 150 152 180 182 222 224	1042001370750
STPT(10)	2503780770815814179	0 2 18 20 30 32 42 44 60 62	1174053535590
STPT(10)	2503780859085993857	0 2 30 32 42 44 54 56 84 86	1262323715268