Prime p₀= 2664558789655027607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2664556443907925089	0 42 54 70 84 90 112 138 154 180 202 208 222 238 250 292	-2345747102518
SPT(16)	2664557460171167993	0 14 26 38 66 138 158 230 264 336 356 428 456 468 480 494	-1329483859614
STPT(12)	2664557528402983637	0 2 12 14 30 32 114 116 132 134 144 146	-1261252043970
SPT(16)	2664557534240199583	0 10 58 66 84 96 108 124 270 286 298 310 328 336 384 394	-1255414828024
SPT(16)	2664557864485487779	0 22 30 34 40 58 72 78 124 130 144 162 168 172 180 202	-925169539828
SPT(16)	2664558121670746547	0 54 56 60 74 86 110 114 152 156 180 192 206 210 212 266	-667984281060
STPT(10)	2664559448407537907	0 2 30 32 72 74 114 116 144 146	658752510300
SPT(16)	2664559647052253563	0 4 34 40 48 60 88 118 126 156 184 196 204 210 240 244	857397225956
SPT(16)	2664559987865452289	0 2 12 44 62 72 78 134 138 194 200 210 228 260 270 272	1198210424682
STPT(10)	2664560025434982287	0 2 30 32 42 44 54 56 84 86	1235779954680
SPT(16)	2664560402629044463	0 4 24 70 108 120 136 234 250 348 364 376 414 460 480 484	1612974016856