Prime p₀= 2316569359657600841 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 50 36 54 114 40 8 22 8 40 114 54 36 50 6 (?)
a_n: 0 6 56 92 146 260 300 308 330 338 378 492 546 582 632 638
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 638
Found by: Vato
db: batch=81, k=16, 6 50 36 54 114 40 8 22

SPT(16)	2316567725619514963	0 18 30 70 78 88 96 120 214 238 246 256 264 304 316 334	-1634038085878
SPT(16)	2316568161180959401	0 46 118 126 130 160 312 352 396 436 588 618 622 630 702 748	-1198476641440
STPT(10)	2316568316165161109	0 2 78 80 120 122 162 164 240 242	-1043492439732
STPT(10)	2316568612337837447	0 2 42 44 72 74 102 104 144 146	-747319763394
SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	-584773631880
STPT(10)	2316568784252544137	0 2 30 32 42 44 54 56 84 86	-575405056704
STPT(10)	2316569520140778347	0 2 30 32 42 44 54 56 84 86	160483177506
SPT(16)	2316569919341548111	0 10 28 30 36 66 72 82 96 106 112 142 148 150 168 178	559683947270
SPT(16)	2316570154798605163	0 6 28 30 34 64 76 90 94 108 120 150 154 156 178 184	795141004322
STPT(10)	2316570270102118739	0 2 18 20 60 62 102 104 120 122	910444517898
STPT(10)	2316570336639395867	0 2 30 32 60 62 90 92 120 122	976981795026