Prime p₀= 1524457022011861877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 28 2 28 2

SPT(16)	1524454675269961621	0 18 90 112 172 228 250 252 286 288 310 366 426 448 520 538	-2346741900256
STPT(10)	1524455828945734337	0 2 42 44 72 74 102 104 144 146	-1193066127540
SPT(16)	1524455916963058271	0 62 90 108 110 150 156 170 258 272 278 318 320 338 366 428	-1105048803606
SPT(16)	1524456285077672831	0 8 26 56 66 86 92 108 110 126 132 152 162 192 210 218	-736934189046
STPT(10)	1524456616073522177	0 2 12 14 72 74 132 134 144 146	-405938339700
STPT(10)	1524456880102754567	0 2 54 56 72 74 90 92 144 146	-141909107310
SPT(16)	1524457486355326543	0 28 114 118 126 138 150 154 180 184 196 208 216 220 306 334	464343464666
TPT(14)	1524457718906496299	0 2 48 50 120 122 162 164 168 170 210 212 258 260	696894634422
STPT(10)	1524457788452937881	0 2 6 8 48 50 90 92 96 98	766441076004
STPT(10)	1524457927508669297	0 2 60 62 72 74 84 86 144 146	905496807420
STPT(10)	1524458115365315069	0 2 18 20 30 32 42 44 60 62	1093353453192