Prime p₀= 978135483073353107 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: HenkM
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	978134451829844227	0 6 34 36 42 70 130 172 234 276 336 364 370 372 400 406	-1031243508880
SPT(16)	978134487599876531	0 8 26 36 72 78 86 108 140 162 170 176 212 222 240 248	-995473476576
SPT(16)	978134753972778089	0 20 30 42 48 62 74 114 158 198 210 224 230 242 252 272	-729100575018
SPT(16)	978134781657290503	0 4 30 64 114 126 138 288 316 466 478 490 540 574 600 604	-701416062604
SPT(16)	978134942385196139	0 12 14 24 42 90 92 98 144 150 152 200 218 228 230 242	-540688156968
STPT(10)	978135118238697899	0 2 18 20 30 32 42 44 60 62	-364834655208
SPT(16)	978135560243254069	0 10 12 28 34 54 60 70 72 82 88 108 114 130 132 142	77169900962
STPT(10)	978135906893158367	0 2 54 56 72 74 90 92 144 146	423819805260
STPT(10)	978136011511249697	0 2 30 32 42 44 54 56 84 86	528437896590
STPT(10)	978136047510696047	0 2 30 32 42 44 54 56 84 86	564437342940
STPT(10)	978136167581112497	0 2 60 62 72 74 84 86 144 146	684507759390