Prime p₀= 1657482385415012129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 78 80 108 110 150 152
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: 152
Found by: Alnitak2019
db: batch=79, k=12, 2 40 2 28 2 4

SPT(16)	1657481685125531761	0 6 28 30 46 58 108 112 156 160 210 222 238 240 262 268	-700289480368
TPT(14)	1657481763786184067	0 2 42 44 54 56 90 92 114 116 174 176 210 212	-621628828062
TPT(14)	1657482079980560159	0 2 60 62 72 74 138 140 198 200 210 212 240 242	-305434451970
STPT(10)	1657482100568342141	0 2 36 38 78 80 120 122 156 158	-284846669988
SPT(16)	1657482111008665741	0 30 42 48 72 90 118 120 148 150 178 196 220 226 238 268	-274406346388
STPT(10)	1657482199323091367	0 2 30 32 72 74 114 116 144 146	-186091920762
STPT(10)	1657482406395214349	0 2 18 20 30 32 42 44 60 62	20980202220
STPT(10)	1657482464447568041	0 2 6 8 48 50 90 92 96 98	79032555912
STPT(10)	1657482485734607429	0 2 18 20 30 32 42 44 60 62	100319595300
SPT(16)	1657483074598416817	0 16 30 70 126 154 156 174 202 220 222 250 306 346 360 376	689183404688
SPT(16)	1657483504032824647	0 6 12 46 72 90 132 142 144 154 196 214 240 274 280 286	1118617812518